Найду корень уравнения: x^6=64
x1 = -2
x2 = 2
___ x3 = -1 - I*\/ 3
___ x4 = -1 + I*\/ 3
___ x5 = 1 - I*\/ 3
___ x6 = 1 + I*\/ 3
сумма
___ ___ ___ ___ -2 + 2 + -1 - I*\/ 3 + -1 + I*\/ 3 + 1 - I*\/ 3 + 1 + I*\/ 3
=
0
произведение
/ ___\ / ___\ / ___\ / ___\ -2*2*\-1 - I*\/ 3 /*\-1 + I*\/ 3 /*\1 - I*\/ 3 /*\1 + I*\/ 3 /
=
-64
x1 = 1.0 - 1.73205080756888*i
x2 = 2.0
x3 = -1.0 + 1.73205080756888*i
x4 = 1.0 + 1.73205080756888*i
x5 = -2.0
x6 = -1.0 - 1.73205080756888*i